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Finding the Fourth Proportional to 1,317.75, 1,976.63 and 343.83

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Solution

The fourth proportional to 1,317.75, 1,976.63 and 343.83 is: 515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.75 : 1,976.63 = 343.83 : x
  2. Step 2: Convert to fraction form
    1,317.75/1,976.63 = 343.83/x
  3. Step 3: Cross multiply
    1,317.75x = 1,976.63 × 343.83
  4. Step 4: Simplify right side
    1,317.75x = 679,622.97
  5. Step 5: Solve for x
    x = 679,622.97/1,317.75
  6. Step 6: Final answer
    x = 515.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.